2 papers
math.DS2026
Dynamical metric order
Maria Carvalho, Fagner B. Rodrigues
We introduce the notion of dynamical metric order of a continuous map on a compact metric space, study its basic properties, and compute it for several classes of maps. This concep…
math.DS2025
Variational principles for metric mean dimension with potential of level sets
Lucas Backes, Chunlin Liu, Fagner B. Rodrigues
We establish three variational principles for the upper metric mean dimension with potential of level sets of continuous maps in terms of the entropy of partitions and Katok's entr…